All categories

3 years ago

Find C: 12√2 24 12 144

Mathematics

1 answer:

anzhelika [568]3 years ago

6 0

Hello from MrBillDoesMath!

Answer:

12 sqrt(2)

Discussion:

Since we have a right triangle,

cos(45) = side adjacent/ hypotenuse

= 12/ c

As cos(45) = sqrt(2)/2 the above equation becomes

sqrt(2)/2 = 12/c => multiple each side by "c"

c sqrt(2)/2 = 12/c * c =>

c sqrt(2)/2 = 12 => divide both sides by sqrt(2)/2

c = 12/ (sqrt(2)/2) =>

c = 12 *2 / sqrt(2) => as 2/sqrt(2) = sqrt(2)

c = 12 sqrt(2)

which is the first answer provided.

Thank you,

MrB

You might be interested in

Andy was given data to draw 3 scatter diagrams.

vredina [299]

Answer:

A) Negative Correlation. B) C. C) B

Step-by-step explanation:

As the line of best fit is travelling downwards, it is a negative correlation, if the line of best fit is travelling upwards, it is a positive correlation, if the points on the graph are all over the place, there is no correlation.

As there are only three types of correlation, the strongest is always the positive.

The answer is B because there is no correlation and that means that there shouldn't be a line of best fit.

6 0

2 years ago

If cos x = sin(20+x) degrees and 0 degrees < x < 90 degrees, the value of x is

Natalka [10]

Answer:

Step-by-step explanation:

Which number is greatest?

2.89 times 10 Superscript negative 8

1.997 times 10 Superscript 2

8.9 times 10 Superscript negative 6

5 times 10 Superscript negative 6

4 0

3 years ago

jabu left town A to travel to town B at 6:00 a.m. he drove at an average speed of 80km/h. At 8.30a.m. Sipho left town A to trave

7nadin3 [17]

Answer:

Sipho catches up Jabu at 6:30 pm

Step-by-step explanation:

Jabu left town A to travel to town B at 6:00 a.m. he drove at an average speed of 80km/h.

At 8:30 am, when Sipho leaves, we will have traveled 2.5 hours at 80 km/h, so he will be 80*2.5 = 200 km ahead.

From then, his position will be given by:

$J(t) = 200 + 80t$

Sipho left town A to travel to town B. He drove at an average speed of 100 km/h.

His position will be given by:

$S(t) = 100t$

At what time will Sipho catch up jabu?

He will catch up in t hours, and t is found when:

$S(t) = J(t)$

$100t = 200 + 80t$

$20t = 200$

$t = \frac{200}{20} = 10$

He will catch up 10 hours after 8:30 am, that is, 6:30 pm.

Sipho catches up Jabu at 6:30 pm

4 0

3 years ago

I thought of a two-digit number. The unit digit of my number is a prime number, and the tens digit is four times as big as the u

sergiy2304 [10]

<h3>Answer: 82</h3>

====================================================

Explanation:

Let A be the tens digit and B be the units digit

We can write the number as AB. So if A = 9 and B = 2 for instance, then the number is AB = 92. Keep in mind I'm not multiplying A and B here.

"The unit digit is a prime" means B could be any of these values {2,3,5,7}. We only list the single digit primes. The value 1 is not prime.

Now multiply each of those items by 4

4*2 = 8

4*3 = 12

4*5 = 20

4*7 = 28

Of those results, only 4*2 = 8 leads to a single digit answer.

This must mean that A = 8 and B = 2

Therefore the number is AB = 82.

4 0

3 years ago

Use the drawing tool(s) to form the correct answer on the provided number line. Consider the functions below. Represent the inte

Leno4ka [110]

In order to solve this problem, we will need a little more information, for example, we need to know what the functions are. Let's say the problem looks like this:

Use the drawing tool(s) to form the correct answer on the provided number line. Consider the functions below.

$f(x)=|3x|-3$

and

$g(x)=-x^{2}+8x-5$

Represent the interval where both functions are increasing on the number line provided.

Answer:

See attached picture

Step-by-step explanation:

Since this problem is posted on the algebra section of Brainly, I assume we will need to make use of an algebraic approach to solve this. Basically, the idea is to graph the functions and find the x-values for which both functions increas. In order to graph the functions, we will need to build a table with points for each of the functions. In order to graph the functions you need to pick the x-values you wish and evaluate them in the given functions. (See attached pictures)

Once you got the desired points, you can plot them in the coordinate axis and find the x-values for which both graphs will be increasing. If we take a close look at the graphs we can see the f(x) graph increases in the interval:

(0,∞)

and the g(x) graph increases in the interval:

(-∞,4)

so the interval in which both graphs are increasing will be the region where both intervals cross each other, which will be (0,4)

so that's the interval we draw on our number line. (see attached picture.

7 0

3 years ago